Finding the Third Proportional to 25,564.50 and 53,478

Step by Step Solution

1. Step 1: Write the proportion equation
   25,564.50 : 53,478 = 53,478 : x
2. Step 2: Convert to fraction form
   25,564.50/53,478 = 53,478/x
3. Step 3: Cross multiply
   25,564.50x = 53,478 × 53,478
4. Step 4: Simplify right side
   25,564.50x = 2,859,896,484
5. Step 5: Solve for x
   x = 2,859,896,484/25,564.50
6. Step 6: Final answer
   x = 111,869.84